| ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN C^n |
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| 作者姓名： | 刘小松 刘太顺 |
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| 作者单位： | School of Mathematics and Computation Science Zhanjiang Normal University Zhanpang 524045，China，Department of Mathematics Huzhou Teachers Colloge，Huzhou 313000，China Department of Mathematics，University of Sciences and Technology of China，Hefei 230026，China |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金，广东省自然科学基金，the Doctoral Foundation of Zhanjiang Normal University |
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| 摘 要： | In this article.a normalized biholomorphic mapping f defined on bounded starlike circular domain in C″is considered,where z=0 is a zero of order k 1 of f(z)(?) The sharp growth.covering theorems for almost starlike mappings of order a and starlile mappings of order wave established.Meanwhile,the construction of the above mappings on bounded starlike circular domain in C~n is also discussed,it provides the extremal mappings for the growth,covering theorems of the above mappings.
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| 关 键 词： | almost starlike mappings of order α starlike mappings of order α |
| 收稿时间： | 8 October 2005 |
| 修稿时间： | 2005-10-08 |
On the sharp growth, covering theorems for normalized biholomorphic mappings in  |
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| Liu Xiaosong,Liu Taishun,.ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN C^n[J].Acta Mathematica Scientia,2007,27(4):803-812. |
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| Authors: | Liu Xiaosong Liu Taishun |
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| Institution: | School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China; Department of Mathematics, Huzhou Teachers Colloge, Huzhou 313000, China; Department of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cn is considered, where z = 0 is a zero of order k 1 of f(z) - z.The sharp growth, covering theorems for almost starlike mappings of order α and starlike mappings of order α are established. Meanwhile, the construction of the above mappings on bounded starlike circular domain in Cn is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings. |
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| Keywords: | Zero of order k 1 normalized biholomorphic mappings growth covering theorems |
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